Apple Basket Puzzle: How to Distribute 100 Apples with a '6' Requirement

One possible solution is:

• Put 16 apples in the first basket.
• Put 26 apples in the second basket.
• Put 36 apples in the third basket.
• Put 46 apples in the fourth basket.
• Put 56 apples in the fifth basket.
• Put 66 apples in the sixth basket.
• Put 6 apples in the seventh basket.

This way, all the baskets have a number of apples that includes the digit '6', and you have used all the apples. Note that there may be other valid solutions, depending on how you interpret the problem (for example, whether zero counts as a digit or not).